%% dx = (0.03125,0.03125)
solution = [
1 1.03125 1.0625 1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 
1.03125 1.0625 1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 
1.0625 1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 
1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 
1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 
1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 
1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 
1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 0 0 0 0 0 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 
1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 0 0 0 0 0 0 0 0 0 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 
1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 0 0 0 0 0 0 0 0 0 0 0 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 
1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 0 0 0 0 0 0 0 0 0 0 0 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 
1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 0 0 0 0 0 0 0 0 0 0 0 0 0 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 
1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 0 0 0 0 0 0 0 0 0 0 0 0 0 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 
1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 0 0 0 0 0 0 0 0 0 0 0 0 0 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 
1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 0 0 0 0 0 0 0 0 0 0 0 0 0 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 
1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 0 0 0 0 0 0 0 0 0 0 0 0 0 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 
1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 0 0 0 0 0 0 0 0 0 0 0 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 
1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 0 0 0 0 0 0 0 0 0 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 
1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 0 0 0 0 0 0 0 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 
1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 0 0 0 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 
1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 
1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 
1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 
1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 
1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 
1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 
1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 
1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 
1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 2.875 
1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 2.875 2.90625 
1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 2.875 2.90625 2.9375 
1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 2.875 2.90625 2.9375 2.96875 
2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 2.875 2.90625 2.9375 2.96875 3 
];
exact = [
1 1.03125 1.0625 1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 
1.03125 1.0625 1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 
1.0625 1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 
1.09375 1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 
1.125 1.15625 1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 
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1.1875 1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 
1.21875 1.25 1.28125 1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 0 0 0 0 0 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 
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1.3125 1.34375 1.375 1.40625 1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 0 0 0 0 0 0 0 0 0 0 0 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 
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1.4375 1.46875 1.5 1.53125 1.5625 1.59375 1.625 1.65625 1.6875 1.71875 0 0 0 0 0 0 0 0 0 0 0 0 0 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 
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1.59375 1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 0 0 0 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 
1.625 1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 
1.65625 1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 
1.6875 1.71875 1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 
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1.75 1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 
1.78125 1.8125 1.84375 1.875 1.90625 1.9375 1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 
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1.96875 2 2.03125 2.0625 2.09375 2.125 2.15625 2.1875 2.21875 2.25 2.28125 2.3125 2.34375 2.375 2.40625 2.4375 2.46875 2.5 2.53125 2.5625 2.59375 2.625 2.65625 2.6875 2.71875 2.75 2.78125 2.8125 2.84375 2.875 2.90625 2.9375 2.96875 
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];
err = [
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